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Finding the Fourth Proportional to 127.24, 189.86 and 114.22

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Solution

The fourth proportional to 127.24, 189.86 and 114.22 is: 170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.24 : 189.86 = 114.22 : x
  2. Step 2: Convert to fraction form
    127.24/189.86 = 114.22/x
  3. Step 3: Cross multiply
    127.24x = 189.86 × 114.22
  4. Step 4: Simplify right side
    127.24x = 21,685.81
  5. Step 5: Solve for x
    x = 21,685.81/127.24
  6. Step 6: Final answer
    x = 170.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.